The p-adic Valuations of Sequences Counting Alternating Sign Matrices
Xinyu Sun and Victor H. Moll
Department of Mathematics
Tulane University
New Orleans, LA 70118
USA
Abstract:
The p-adic valuations of a sequence of integers counting alternating
sign symmetric matrices are examined for p = 2 and
p = 3. Symmetry properties of
their graphs produce a new proof of the result that characterizes the indices
that yield an odd number of matrices.
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(Concerned with sequences
A001045
A005130.)
Received January 28 2009;
revised version received April 27 2009.
Published in Journal of Integer Sequences, April 30 2009.
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